A discrete time system is described by the following system of equations.
$$q[n] = \big(x[n]-\frac k4q[n-1]\big)$$ $$y[n] = \big(q[n]-\frac k3q[n-1]\big)$$
Find the systen function and then find the values of $k$ for which the system is stable. Also find the values of $k$ for which the system is of mimimum-phase.
Can anybody give me some guidelines as to how to handle this system of equations in order to find the system function?
This is an unsolved exercise given by my professor.